The existence of modeling limits satisfying the strong finitary mass transport principle
is known for first order convergent sequences
of trees of bounded depth and more generally sequences of graphs with bounded tree-depth [1]},
sequences of trees [2]} and sequences of graphs with bounded path-width [3]},
which can be interpreted in plane trees.
Our main result (Theorem REF ) establishes
the existence of modeling limits satisfying the strong finitary mass transport principle
for sequences of graphs with bounded tree-width.
